Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to

where
B is the area of the triangular base
L is the length of the prism
we have

<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to


substitute

So,

Write in prime factored form.

Cross-cancel
Answer:
C
Step-by-step explanation:
The vertex form of the equation of a circle is
where (h,k) is the center of the circle and r is the radius. This means that for the circle with center (-3,1) and radius 5 substitute into the vertex form these values. Substitute h = -3, k= 1, and r = 5. The equation becomes
. This simplifies to
. The solution is C.